AIPMT | 2015Momentum and CollisionHard

Question

Two particles of masses m1, m2 move with initial velociteis u1 and u2. On collision, one of the particles get excited to higher level, after abosrbing energy e. If final velocities of particles be v1 and v2 then we must have :

Options

A. m1u12 + m2u22 = m1v12 + m2v22 - ε
B. m1u12 + m2u22 - ε = m1v12 + m2v22
C. m12u12 + m22u22 + ε = m12v12 + m22v22
D.m12u1 + m22u2 - ε =  m12v1 + m22v2

Solution

Energy will always be conserved so
K. E.initial = K.E.final + Excitation energy
m1u12 + m2u22 = m1v12 + m2v22 + ε
Hence option (2) .

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